Complete Set of Invariants for a Bykov Attractor

• Type: Article in International Scientific Journal
• Date: 2018-06

Authors

Maria Pires de Carvalho (Author) FCUP; Alexandre A. P. Rodrigues (Author) FCUP

Journal

Title: REGULAR & CHAOTIC DYNAMICS

Vol. 23

Pages: 227-247

ISSN: 1560-3547

Publisher: Palgrave Macmillan

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics

Other information

Authenticus ID: P-00P-JDK

DOI: 10.1134/s1560354718030012

Abstract (EN): In this paper we consider an attracting heteroclinic cycle made by a 1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles having complex eigenvalues. The basin of the global attractor exhibits historic behavior and, from the asymptotic properties of these nonconverging time averages, we obtain a complete set of invariants under topological conjugacy in a neighborhood of the cycle. These invariants are determined by the quotient of the real parts of the eigenvalues of the equilibria, a linear combination of their imaginary components and also the transition maps between two cross sections on the separatrices.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21